Memoryless H∞ Controllers for Discrete-Time Systems with Time Delay

  • Authors:
  • VIKRAM KAPILA;WASSIM M. HADDAD

  • Affiliations:
  • Department of Mechanical, Aerospace, and Manufacturing Engineering Polytechnic University Brooklyn, NY 11201, USA;School of Aerospace Engineering, Georgia Institute of Technology Atlanta, GA 30332-0150, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1998

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Abstract

This paper considers the problem of H"~ stabilization of discrete-time systems with state delays and exogenous bounded-energy l"2 disturbances. Specifically, an H"~ state feedback control design problem for discrete-time systems with time delay is addressed. The principal result involves sufficient conditions in terms of a modified Riccati equation for characterizing state feedback controllers that enforce a bound on H"~ performance and guarantee closed-loop stability in the face of system state delay.